Tree Allometrics

Equations / Aboveground biomass

Native shrubs NZ (3 spp, Massey University): AGB from D and H (Table 7)

Aboveground biomassCoprosma robusta, Pittosporum crassifolium and Melicytus ramiflorus (generalized)New ZealandmixedRead from the original paper
Many species, no single photo
Equation

As printed (Table 7)

Generalized- Massey University ln(AGB) =ln (a)+b×ln(D)+c×ln(H) -3.57**** 2.18**** 0.40** … CF 1.05

In this library's units, ready to compute (kg)

Aboveground biomass = 1.05 * exp(-3.57 + 2.18 * ln(DRC) + 0.4 * ln(H))
DRC
Root collar / stem base diameter, cm
H
Total tree height, m

AGB is the sum of stem, branch and foliage dry biomass of the shrub. Natural log. D is the basal stem diameter over bark about 10 cm above ground (multi-stemmed shrubs: square root of the sum of stem diameters), mapped to DRC; H is total height in m. Table 7 reports adjusted R2 = 0.907 and RMSE = 0.288 (not used as r2 or rse). Shrubs had basal diameter up to 10 cm (mean D 3.4 to 3.8 cm by species, Table 4); the paper prints no D range for these models. The CF column is the factor the paper applies to back-transformed predictions.

Source
CF = e(RSE²/2) Equation 2; Table 7 CF column 1.05
Correction factor · Methods, Equation 2; Table 7
Trees measured
19
Correction factor
1.05 (applied)
Method
OLS regression on natural logarithms (power form), back-transformed with correction factor CF = exp(RSE^2/2)
Where
Massey University natural reserves and Dairy4 farm trial site, Manawatu
Last checked
2026-11-02
Calculate
Height from
0.134
Aboveground biomass (kg)
0.063
Carbon (kg), ×0.47
0.231
CO₂e (kg), ×44/12
Checks this equation passes

On every build, the library's form and the paper's own form (in its units) must both give these values within 1%.

InputsExpectedWe getFrom
DRC = 2, H = 10.1340.134Computed from the printed form
computed from the published form (a is ln(a), CF applied, coefficients as printed)
DRC = 4, H = 20.8010.801Computed from the printed form
computed from the published form (a is ln(a), CF applied, coefficients as printed)
DRC = 8, H = 34.274.27Computed from the printed form
computed from the published form (a is ln(a), CF applied, coefficients as printed)

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